ON LINEAR DECOMPOSITION OF BOOLEAN FUNCTIONS

被引：0

作者：

Cheremushkin, A. V. ^{[1
]}

机构：

[1] EMA IS, Moscow, Russia

来源：

PRIKLADNAYA DISKRETNAYA MATEMATIKA | 2016年 / 31卷 / 01期

关键词：

Boolean function; vector space; dual space; simple disjunctive decomposition; iterative disjunctive decomposition;

D O I：

10.17223/20710410/31/4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Disjunctive decompositions of Boolean functions taken after a linear substitution on the set of arguments are considered. For any component of such a decomposition, a notion of a substantial variables subspace is introduced. The main topic of the article is to give some sufficient condition under which the both these subspaces unequally determine each other in a simple disjunctive decomposition of a function having the trivial stabiliser group of shifts. The case of iterative disjunctive decomposition is considered too.

引用

页码：46 / 56

页数：11

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